An obstruction for q-deformation of the convolution product

Details An obstruction for q-deformation of the convolution product An obstruction for q-deformation of the convolution product

1995-11-24

arxiv.org/abs/funct-an/9511002v2

Mathematics

Operator Algebras

The proof of proposition 2 is corrected on 11 january 1996

Scientific paper

10.1088/0305-4470/29/15/036

We consider two independent q-Gaussian random variables X and Y and a
function f chosen in such a way that f(X) and X have the same distribution. For
0 < q < 1 we find that at least the fourth moments of X + Y and f(X) + Y are
different. We conclude that no q-deformed convolution product can exist for
functions of independent q-Gaussian random variables.

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